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Finding the Fourth Proportional to 6,151.26, 9,229.20 and 3,687.84

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Solution

The fourth proportional to 6,151.26, 9,229.20 and 3,687.84 is: 5,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.26 : 9,229.20 = 3,687.84 : x
  2. Step 2: Convert to fraction form
    6,151.26/9,229.20 = 3,687.84/x
  3. Step 3: Cross multiply
    6,151.26x = 9,229.20 × 3,687.84
  4. Step 4: Simplify right side
    6,151.26x = 34,035,812.93
  5. Step 5: Solve for x
    x = 34,035,812.93/6,151.26
  6. Step 6: Final answer
    x = 5,533.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.